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Lu: Recent results about extremals of sharp Adams inequalities and quantization theory for related high-order elliptic equations.

Lu:
Due to the wide range of applications in mathematical physics, geometric analysis and string theory, Trudinger-Moser and Adams inequalities have become one of the focus in the field of functional analysis. In this report, I will first recall some classical results about sharp Trudinger-Moser and Admas inequalities on bounded domain and unbounded domain. Then I will introduce my recent work about the existence and uniquness of extremals of sharp Trudinger-Moser and Adams inequalities on the unbounded domain. Finally, I will also present some quantization results for high-order elliptic equations with critical exponential non-linearity.
http://cvgmt.sns.it/seminar/727/
When
Wed Feb 19, 2020 10am – 11am Coordinated Universal Time
Where
Scuola Normale Superiore, Aula Bianchi Lettere (map)